Local Critical Perturbations of Unimodal Maps
نویسندگان
چکیده
منابع مشابه
Local Critical Perturbations of Unimodal Maps
We introduce a new complete metric in the space V2 of unimodal Cmaps of the interval, with two maps close if they are close in the C-metric and differ only on a small interval containing their critical points. We identify all structurally stable maps in the sense of this metric. They are maps for which either (1) the trajectory of the critical point is attracted to a topologically attracting (a...
متن کاملBifurcations of Unimodal Maps
We review recent results that lead to a very precise understanding of the dynamics of typical unimodal maps from the statistical point of view. We also describe the (generalized) renormalization approach to the study of the statistical properties of typical unimodal maps.
متن کاملHomeomorphic Restrictions of Unimodal Maps
Examples are given of tent maps T for which there exist nontrivial sets B ⊂ [0, 1] such that T : B → B is a homeomorphism.
متن کاملChaotic Unimodal and Bimodal Maps
We describe up to conjugacy all unimodal and bimodal maps that are chaotic, by giving necessary and sufficient conditions for unimodal and bimodal maps of slopes ±s to be transitive.
متن کاملLocal Unimodal Sampling
One of the simplest ways of optimizing a problem without knowledge of its gradient, is to iteratively and randomly pick a sequence of candidate solutions that improve on the fitness. This paper shows mathematically that to exhaust the optimum of a problem, the search-range from which the candidate solutions are picked, must be decreased during an optimization run. A simple technique for doing t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2009
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-008-0717-9